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- Title
How to construct Gorenstein projective modules relative to complete duality pairs over Morita rings.
- Authors
Ma, Yajun; Lü, Jiafeng; Li, Huanhuan; Hu, Jiangsheng
- Abstract
Let Δ = A A N B B M A B be a Morita ring with M ⊗ A N = 0 = N ⊗ B M. We first study how to construct (complete) duality pairs of Δ -modules using (complete) duality pairs of A -modules and B -modules, generalizing the result of Mao (Commun. Algebra 12 (2020) 5296–5310) about the duality pairs over a triangular matrix ring. Moreover, we construct Gorenstein projective modules relative to complete duality pairs of Δ -modules. Finally, we give an application to Ding projective modules.
- Subjects
MATRIX rings; ALGEBRA
- Publication
Journal of Algebra & Its Applications, 2024, Vol 23, Issue 10, p1
- ISSN
0219-4988
- Publication type
Article
- DOI
10.1142/S0219498824501536